wp-privacy-page-custom-edit-cap.php

<?php
/**
 * Customize caps to edit Privacy Page
 */
add_action('map_meta_cap', function ($caps, $cap, $user_id, $args) {
    $user_meta = get_userdata($user_id);
    if ($user_meta) {
        if (array_intersect(['shop_manager', 'administrator'], $user_meta->roles)) {
            if ('manage_privacy_options' === $cap) {
                $manage_name = is_multisite() ? 'manage_network' : 'manage_options';
                $caps = array_diff($caps, [$manage_name]);
            }
        }
    }

    return $caps;
}, 1, 4);